Find the volume of the figure please.

Answer:

[tex] \boxed{\stackrel{\Large\frown}{PQS}\:= 222°} [/tex]

Explanation:

Since [tex] \overline{PR} [/tex] is a diameter, arc [tex] \stackrel{\Large\frown}{PQR}\:= 180°. [/tex]

Given that [tex] \angle{SUR} = 42°[/tex] is a subtended central angle by two diameters,

[tex] \stackrel{\large\frown}{RS} \:= 42° [/tex].

Using the rule of arcs, [tex] \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} [/tex] →

[tex] 180° + \: 42° = \: \stackrel{\Large\frown}{PQS} [/tex]

[tex] 222° = \: \stackrel{\Large\frown}{PQS} [/tex]

[tex] \stackrel{\Large\frown}{PQS} \: = \: 222° [/tex]

Answer:

500m

Step-by-step explanation:

a rectangle has 4 sides, so 30=60 and 20=40

60x5=300

40x5=200

300+200=500

500m

reason of 500

The main reason for this is he ran AROUND the rectangle and did it 5 TIMES, doing it once would be 100m.

Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

Answer:

BD = 8 in.

Step-by-step explanation:

Given:

The two vectors are:

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

To find:

The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].

Solution:

We have,

[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]

[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]

The cross product of these two vectors is:

[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]

[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]

Now the magnitude of the cross product is:

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]

[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]

Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].

Answer:

im leaning on parallelogram

Step-by-step explanation:

Parallelogram, Quadrilateral, and Rectangles

First off both of these images are parallelogram because the arrows show that both the rectangle and the square (diamond/whatever you want to call it) have pairs of parallel sides so we know that both these shapes are parallelograms

Secondly, these shapes are both quadrilaterals. A quadrilateral, by definition, is simply a four-sided figure. Both a rectangle and a square are four-sided figures so these are both quadrilaterals.

Lastly, these figures are both rectangles. Yes I know one is a square and one is a rectangle but a square is a special four sided figure that can classify as a rectangle. Every square is a rectangle but not every rectangle is a square. A rectangle by definition is a four sided polygon with two pairs of parallel sides, congruent sides, and four 90 degree interior angles.

Hope this helped :)

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Answer: Cindy

Step-by-step explanation:

42/3.5=12 minutes per mile

So Cindy ran faster at 11 minutes per mile

Answer:

Cindy was faster

Step-by-step explanation:

jasmine

42/3.5= 12 miles por hour

Answer:

50 degrees ( Vertically opposite)

Hope it helps

Step-by-step explanation:

here the slope of the graph is straight, that means velocity is uniform

the correct answer is option B. 10m

Question:

Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.

Write this probability as a decimal.

Use a word or phase to describe this probability

Answer:

[tex]P(yellow)=0.2[/tex]

Unlikely event

Step-by-step explanation:

Given

[tex]P(yellow)=\frac{5}{25}[/tex]

Solving (a): Express as decimal

[tex]P(yellow)=\frac{5}{25}[/tex]

As decimal, we have:

[tex]P(yellow)=0.2[/tex]

Solving (b): Description

Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely

Answer:

1512 cm^3

Step-by-step explanation:

the small ones dimentions are 9 by 3 by 7

if you double that then it is 18 by 6 by 14

to figure out the volume you have to multiply all the numbers together

and you get 1512 cm^3

Answer:

4⁷

Step-by-step explanation:

Rule of exponents is:

aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾

4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷

Answer:

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

gcf 56, 120 = 8, 56/8=7, 120/8=15, 7+15=22. 22

Answer:

(10,54) and (11,59)

Step-by-step explanation:

those ordered pairs are the closest to one another.

Answer:

-2.4

Step-by-step explanation:

Given data

We have the expression before us as

−4.5 + p6= −18.9

Collect like terms

p6= −18.9+4.5

p6= -14.4

Divide both sides by 6

p= -14.4/6

p=-2.4

Hence the value of p= -2.4

Answer:

That one answer you see below is wrong

Step-by-step explanation:

Thats it

Answer:

20,000 in sales last month.

Step-by-step explanation:

can't really explain it I just found how much in sales would make that amount of commission.

5000 with 5%

15000 with 7.5%

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

Answer:

9^28

Step-by-step explanation:

It's 9^ 28

remember when we are raising exponents to a power we are multiplying the exponent

Answer:

B

Step-by-step explanation:

When a number to a power of something is multiplied to another exponent, you multiply the exponent values. 7* 4 = 28

Answer:

A polygon with one side could be a henagon or monogon

2 sides = digon or bigon

3. sides trigon or traingle ( equaliteral traingle , isosceles traingle Right traingle, acute traingle , obtuse traingle.

4 sides all the quadrilateral include square rectangle parallelogram, trapezium, rhombus , kite

5 sides = pentagon

6= hexagon

7 heptagon

8 octagon

9 nonagon

10 decagon

Answer:

x<=4, put the closed circle on "4" with the arrow going all the way left

Answer:

X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.

Answer:

1. 62,3

2. 0,000129230769

3. 53424

4. 257027760

5. 382,081081

6. ?

7. 261,6

8. ?

9. 45,15

Answer:

£200

Step-by-step explanation:

Sum the parts of the ratio, 3 + 4 = 7 parts

Divide the amount by 7 to find the value of one part of the ratio

£350 ÷ 7 = £50 ← value of 1 part of the ratio , then

4 parts = 4 × £50 = £200 ← amount Dave gets

Answer:

B) $143

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side, that is

5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )

x = 4.5

Answer:I'm guessing 9×6? 54?

Step-by-step explanation:

Answer:

[tex]x\approx 7.0[/tex]

Step-by-step explanation:

Since we are given a right triangle, we can use right trigonometric ratios.

x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:

[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]

Solve for x:

[tex]x=10\tan(35^\circ)[/tex]

Use a calculator:

[tex]x=7.0020...\approx 7.0[/tex]

x=7 yards

Answer:

Solution Given:

Opposite = x

base=10yards

and angle is 35°

we know that

relationship between opposite and base is given by Tan angle

so

Tan 35°= opposite/base

Tan 35°*10=x

x= 7.002

x≈7 yards